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Topological expansion for the 1-hermitian matrix model correlation functions

Published 4 January 2005 Published under licence by IOP Publishing Ltd
, , Citation Bertrand Eynard JHEP11(2004)031 DOI 10.1088/1126-6708/2004/11/031

1126-6708/2004/11/031

Abstract

We rewrite the loop equations of the hermitian matrix model, in a way which involves no derivative with respect to the potential, we compute all the correlation functions, to all orders in the topological 1/N2 expansion, as residues on an hyperelliptical curve. Those residues, can be represented as Feynman graphs of a cubic field theory on the curve.

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10.1088/1126-6708/2004/11/031